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Finding the Fourth Proportional to 12,404.31, 17,110.76 and 8,156.13

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Solution

The fourth proportional to 12,404.31, 17,110.76 and 8,156.13 is: 11,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.31 : 17,110.76 = 8,156.13 : x
  2. Step 2: Convert to fraction form
    12,404.31/17,110.76 = 8,156.13/x
  3. Step 3: Cross multiply
    12,404.31x = 17,110.76 × 8,156.13
  4. Step 4: Simplify right side
    12,404.31x = 139,557,542.18
  5. Step 5: Solve for x
    x = 139,557,542.18/12,404.31
  6. Step 6: Final answer
    x = 11,250.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.